Explorations in topology
Subtitle: map coloring, surfaces, and knots
By: David Gay.
Publisher: Elsevier Academic Press
Published: 2007
Place of publication: Amsterdam; Boston
Language: eng
Number of pages: 339
ISBN-13: 9780123708588
Subjects: Topology.
Description: "David Gay provides his readers with a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course. The innovative story-line style helps readers connect with the material and 'learn by doing'. Explorations in Topology is ideal for use in an introductory course for junior or senior mathematics majors and high school mathematics teachers; it is also a great resource for mathematicians/mathematics educators interested in curriculum development and original approaches to the teaching of advanced undergraduate mathematics"--BOOK JACKET.
Notes: Includes bibliographical references and index.
Table of contents: title: Acme does maps and considers coloring them; title: Acme adds tours; title: Acme collects data from maps; title: Acme collects more data, proves a theorem, and returns to coloring maps; title: Acme's solicitor proves a theorem: the four-color conjecture; title: Acme adds doughnuts to its repertoire; title: Acme considers the Möbius strip; title: Acme creates new worlds: Klein bottles and other surfaces; title: Acme makes order out of chaos: surface sums and Euler numbers; title: Acme classifies surfaces; title: Acme encounters the fourth dimension; title: Acme colors maps on surfaces: Heawood's estimate; title: Acme gets all tied up with knots; title: Where to go from here: projects.